Answer: 100
Step-by-step explanation: Formula for area of the parallelogram: <em>base times height</em>
8 1/3 x 12 = 100
100 is the answer
Answer:
9 laps.
Step-by-step explanation:
-Let x be the number of laps Taylor runs.
-Given that the ratio of Kyle to Taylor laps is 2:3, we express the actual laps in meters to solve for x as follows:
Hence, Taylor runs 9 laps.
Answer:
Step-by-step explanation:
= We need a common denominator before we can add.
+ means the same thing as
- =
ANSWER
x= 46
EXPLANATION
To solve this problem you need to remember that a straight line is 180°. This figure is basically a straight line split in two, so 134°+x=180°. You can also subtract 134 from 180 to get 46.
Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8
Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40
Therefore
x=-8/-8=1
y=--40/-8=5
Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.